本书*为难能可贵的是始终贯穿着强烈的应用意识，即把数学理论紧密地与政治、经济、体育、艺术、医学、生物、科技、环境等实际问题相结合，这在国内外数学教科书中是不多见的。本书内容包括集合论、数理逻辑、图论、运筹、统计、概率、排列组合、代数、几何和矩阵等。书中每一章的开始提出实际问题，然后发展必要的数学工具，解决问题，从而在应用中进一步加强对数学的理解。讨论的问题涉及日常生活，如信用卡购物、年利率计算、运动队成绩的评价等；也有**的数学问题，如四色问题等；还有数学在高新技术中的应用。众多的应用问题使本书变得趣味横生。
本书主要可作为非理工类专业师生的教科书，也可作为理工类师生、工程技术人员、管理人员的参考书。

1SETTHEORY:UsingMathematicstoClassifyObjects1l.lProblemSolving2l.2TheLanguageofSets161.3ComparingSets23l.4SetOperations30l.5SurveyProblems42ChapterSununary51ChaPterTest53OfFurtherInterest:FuzzySets552LOGIC:TheStudyofWhat'STFueorFalseorSomewhereinBetween622.lStatements,Connectives,andQuanhfiers632.2TruthTables752.3TheConditionalandBiconditional882.4VerifyingArguments972.5UsingEulerDiagramstoVerifySyllogisms108ChaPterSummary116ChaPterTest119OfFurtherInterest:FuzzyLogicI213GRAPHTHEORY:TheMathematicsofRelationships1303.lGraphs,Puzzles,andMapColoring1313.2TheTravelingSalespersonProblem1523.3DirectedGraphs1663.4SchedulingProjectsUsingPERT177ChapterSummary189ChapterTest192OfFurtherInterest:FiniteStateMachines1964LEGISLATIVEAPPORTIONMENT:HowDoWeMeasureFairness?2024.1UnderstandingApportionment2034.2Inequalities2124.3TheHuntington-HillApportionmentPrinciple2164.4ApponioningaRepresentativeBoard2244.5OtherApplicahonsofApponionment232ChapterSununary239ChapterTest240OfFurtherInterest:FairDivision2425VOTING:UsingMathematicstoMakeChoices2S35.lVotingMethods2545.2DefectsinVotingMethods2675.3WeightedVotingSystems283ChapterSununary293ChapterTest295OfFurtherInterest:TheShapley-ShubikIndex2986CONSUMERMATHEMATlCS:TheMathematic:ofEverydayLife3066.1Interest3076.2ConsumerLoans3216.3Annuities3316.4Amortization340ChapterSummary351ChapterTest353OfFurtherInterest:TheAnnualPercentageRate3557DATA:HowDoWeKnowWhatIsTFue?3627.lSurveysandSurveyBiases3637.2DetendningtheAccuracyofSurveys373ChapterSununary388ChapterTest389OfFurtherInterest:Experiments3918DESCRIPTIVESTATISTICS:WhataDataSetTellsUs8.lOrganizingandVisualizingData3998.2MeasuresofCentralTendency4128.3MeasuresofDispersion4278.4TheNormalDistribution441ChapterSununary455ChapterTest4S7OfFurtherInterest:LinearCorrelation4599COUNTING:JustHowManyAreThere?9.1IntroductiontoCountingMethods4689.2TheFundamentalCountingPrinciple4779.3PermutationsandCombinations4859.4Pascal'sTriangle495ChapterSununary502ChapterTest503OfFurtherInterest:CountingandGambling50410PROBABILITY:WhatAretheChances?l0.lTheBasicsofProbabilityTheory510l0.2ComplementsandUnionsofEvents52710.3ConditionalProbabilityandIntersechonsofEvents53510.4ExpectedValue547ChapterSurnmaryS55ChapterTest556OfFurtherInterest.BinomialExperiments55811ALGEBRAICMODELS:HowDoweApproximateReality?ll.1LinearEquations566l1.2ModelingwithLinearEquations5791l.3ModelingwithQuadraticEquations59011.4ExponentialEquationsandGrowth599ChapterSummary613ChapterTest6I4OfFurtherInterest:DynamicalSystems6I612GEOMETRYAncientandModernMathematicsEmbrace12.lLines,Angles,andCircles625l2.2Polygons636l2.3PerimeterandArea648l2.4VolumeandSdseArea664l2.5GeometricSynunetryandTessellations675ChapterSummary694ChapterTestco7OfFurtherInteret:Fractals70113MATRICES:CalculatingwithTablesofNumericalInformationl3.lMatrixTerminologyandOperations71213.2MatrixMultiPlication72213.3TransformationalGeometry732l3.4MoreTransformahonsandHomogeneousCoordinatesChapterSunnnmp755ChapterTest757OfFuhaerInterest.MatricesandDirectedGraphsAnswerstoQuizYourself769AnswerstoExercises779IndexI-1

本书*为���能可贵的是始终贯空着强烈的应用意识，即把数学理论紧密地与政治、经济、体育、艺术、医学、生物、科技、环境等实际问题相结合，这在国内外数学教科书中是不多见的。本书内容包括集合论、数理逻辑、图论、运筹、统计、概率、排列组合、代数、几何和矩阵等。书中每一章的开始提出实际问题，然后发展必要的数学工具，解决问题，从而在应用中进一步加强对数学的理解。讨论的问题涉及日常生活，如信用卡购物、年利率计算、运动队成绩的评价等；也有**的数学问题，如四色问题等；还有数学在高新技术中的应用。众多的应用问题使本书变得趣味横生。 本书主可作为非理工类专业师生的教科书，也可作为理工类师生、工程技术人员、管理人员的参考书。